{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "81bc24dd",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-10T13:33:02.112874Z",
     "start_time": "2022-03-10T13:33:02.110624Z"
    }
   },
   "outputs": [],
   "source": [
    "# !pip install spinesTS"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "db6d92b8",
   "metadata": {},
   "source": [
    "# DataGenerator test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "74e5e659",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-10T13:33:03.979223Z",
     "start_time": "2022-03-10T13:33:02.113726Z"
    }
   },
   "outputs": [],
   "source": [
    "from spinesTS.data import DataGenerator, DataReader\n",
    "from spinesTS.plotting import plot1d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "37fd16d1",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-10T13:33:03.982619Z",
     "start_time": "2022-03-10T13:33:03.980196Z"
    }
   },
   "outputs": [],
   "source": [
    "dg = DataGenerator()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "037822da",
   "metadata": {},
   "source": [
    "## trigonometry_ds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6f94304a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-10T13:33:04.100845Z",
     "start_time": "2022-03-10T13:33:03.984268Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = dg.trigonometry_ds(size=100, sin_cos_noise_fact=(0.4, 0.4, 0.2), random_state=0)\n",
    "plot1d(a.data, figsize=(10, 6))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b435e0a",
   "metadata": {},
   "source": [
    "## white_noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "75e8ccf2",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-10T13:33:04.180637Z",
     "start_time": "2022-03-10T13:33:04.103607Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "b = dg.white_noise(100, random_state=0)\n",
    "plot1d(b.data, figsize=(10, 6))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "986d7c74",
   "metadata": {},
   "source": [
    "## random_walk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "09b82ced",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-10T13:33:04.264282Z",
     "start_time": "2022-03-10T13:33:04.181596Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "c = dg.random_walk(size=100, started_zero=True, random_state=0)\n",
    "plot1d(c.data, figsize=(10, 6))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7d20e360",
   "metadata": {},
   "source": [
    "# built-in datasets test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "cdce807a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-10T13:33:04.267238Z",
     "start_time": "2022-03-10T13:33:04.265094Z"
    }
   },
   "outputs": [],
   "source": [
    "from spinesTS.data import (\n",
    "    LoadElectricDataSets, \n",
    "    LoadMessagesSentDataSets, \n",
    "    LoadMessagesSentHourDataSets, \n",
    "    LoadSupermarketIncoming,\n",
    "    LoadWebSales,\n",
    "    BuiltInSeriesData\n",
    ")        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "0761bb51",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-10T13:33:04.272958Z",
     "start_time": "2022-03-10T13:33:04.268073Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Existing CSV file list: \n",
      " \r",
      ">> >> >> >> >> >> >> >> >> >> \n",
      " \r",
      "    Electric_Production\n",
      "\r",
      "    Messages_Sent\n",
      "\r",
      "    Messages_Sent_Hour\n",
      "\r",
      "    Series_0\n",
      "\r",
      "    Series_1\n",
      "\r",
      "    Series_2\n",
      "\r",
      "    Series_3\n",
      "\r",
      "    Series_4\n",
      "\r",
      "    Series_5\n",
      "\r",
      "    Series_6\n",
      "\r",
      "    Series_7\n",
      "\r",
      "    Series_8\n",
      "\r",
      "    Series_9\n",
      "\r",
      "    Supermarket_Incoming\n",
      "\r",
      "    Web_Sales\n",
      " \r",
      "<< << << << << << << << << << \n"
     ]
    }
   ],
   "source": [
    "builtin_data = BuiltInSeriesData()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "eebd61d6",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-10T13:33:04.280575Z",
     "start_time": "2022-03-10T13:33:04.274593Z"
    }
   },
   "outputs": [],
   "source": [
    "electric = LoadElectricDataSets()\n",
    "sales = LoadWebSales()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "d3e2c52e",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-10T13:33:04.358428Z",
     "start_time": "2022-03-10T13:33:04.281525Z"
    }
   },
   "outputs": [
    {
     "data": {
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       "\n",
       "[397 rows x 2 columns]"
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     "execution_count": 10,
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     "start_time": "2022-03-10T13:33:04.359597Z"
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    {
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       "            date  type_a  type_b  sales_cnt\n",
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       "2     2015-12-28   49317   46108      95425\n",
       "3     2015-12-29   41823   41846      83669\n",
       "4     2015-12-30   39946   40041      79987\n",
       "...          ...     ...     ...        ...\n",
       "2084  2021-09-09    8234  101689     109923\n",
       "2085  2021-09-10    7825   93044     100869\n",
       "2086  2021-09-11    8461  107687     116148\n",
       "2087  2021-09-12    8159  106152     114311\n",
       "2088  2021-09-13    8881  114413     123294\n",
       "\n",
       "[2089 rows x 4 columns]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sales.dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "30800273",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-10T13:33:04.379083Z",
     "start_time": "2022-03-10T13:33:04.369733Z"
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   },
   "outputs": [
    {
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      ],
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       "          date      ta     tb     tc\n",
       "0     2020/1/1  194343  52737  51446\n",
       "1     2020/1/2  207725  56149  54437\n",
       "2     2020/1/3  179798  56113  54318\n",
       "3     2020/1/4  196651  63549  62115\n",
       "4     2020/1/5  206737  65993  64416\n",
       "..         ...     ...    ...    ...\n",
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       "601  2021/8/24  204492  31637  30665\n",
       "\n",
       "[602 rows x 4 columns]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "messages = LoadMessagesSentDataSets()\n",
    "messages.dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "137bf290",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-03-10T13:33:04.388180Z",
     "start_time": "2022-03-10T13:33:04.379754Z"
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   },
   "outputs": [
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       "      <td>2021/8/24</td>\n",
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       "      <td>932</td>\n",
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       "    <tr>\n",
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       "      <td>2021/8/24</td>\n",
       "      <td>23</td>\n",
       "      <td>11372</td>\n",
       "      <td>692</td>\n",
       "      <td>678</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5664 rows × 5 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           date  hour     ta    tb    tc\n",
       "0      2021/1/1     0   1681   941   931\n",
       "1      2021/1/1     1    462   454   452\n",
       "2      2021/1/1     2    285   277   277\n",
       "3      2021/1/1     3    171   169   168\n",
       "4      2021/1/1     4    196   194   194\n",
       "...         ...   ...    ...   ...   ...\n",
       "5659  2021/8/24    19  13500  1352  1319\n",
       "5660  2021/8/24    20  13375  1561  1529\n",
       "5661  2021/8/24    21  13467  1443  1421\n",
       "5662  2021/8/24    22  13416   932   910\n",
       "5663  2021/8/24    23  11372   692   678\n",
       "\n",
       "[5664 rows x 5 columns]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "message_hour = LoadMessagesSentHourDataSets()\n",
    "message_hour.dataset"
   ]
  },
  {
   "cell_type": "code",
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